What is (5/x-x/5)/(x/(25)+1/5) ?

The solution to (5/x-x/5)/(x/(25)+1/5) is (5(5-x))/x

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simplify (5/x-x/5)/(x/(25)+1/5)

simplify

\frac{\frac{5}{x} - \frac{x}{5}}{\frac{x}{25} + \frac{1}{5}}

\frac{5 ( 5 - x )}{x}

Solution steps

\frac{\frac{5}{x} - \frac{x}{5}}{\frac{x}{25} + \frac{1}{5}}

Join

\frac{5}{x} - \frac{x}{5} : \frac{25 - x ^{2}}{5 x}

= \frac{\frac{25 - x ^{2}}{5 x}}{\frac{x}{25} + \frac{1}{5}}

Join

\frac{x}{25} + \frac{1}{5} : \frac{x + 5}{25}

= \frac{\frac{25 - x ^{2}}{5 x}}{\frac{x + 5}{25}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( 25 - x ^{2} ) \cdot 25}{5 x ( x + 5 )}

Cancel

\frac{( 25 - x ^{2} ) \cdot 25}{5 x ( x + 5 )} : \frac{( 5 - x ) \cdot 5}{x}

= \frac{( 5 - x ) \cdot 5}{x}

= \frac{5 ( 5 - x )}{x}

x^{2} + x^{6}

lo g_{10} (100000000)

0.08

x^{4} - 9 x^{2} - 4 x + 12

\frac{\frac{1}{x}}{x ^{2}}

What is (5/x-x/5)/(x/(25)+1/5) ?
The solution to (5/x-x/5)/(x/(25)+1/5) is (5(5-x))/x